
Volume Conversion To Metric Calculator
The volume of any solid, plasma, vacuum or theoretical object is how much threedimensional space it occupies, often quantified numerically. Onedimensional figures (such as lines) and twodimensional shapes (such as squares) are assigned zero volume in the threedimensional space.Volume is presented as ml or cm3.
Volumes of straightedged and circular shapes are calculated using arithmetic formulae. Volumes of other curved shapes are calculated using integral calculus, by approximating the given body with a large amount of small cubes or concentric cylindrical shells, and adding the individual volumes of those shapes. The volume of irregularly shaped objects can be determined by displacement. If an irregularly shaped object is less dense than the fluid, you will need a weight to attach to the floating object. A sufficient weight will cause the object to sink. The final volume of the unknown object can be found by subtracting the volume of the attached heavy object and the total fluid volume displaced.
Volume Formulas
Shape 
Equation 
Variables 
Cube: 

s = length of any side 
Rectangle Prism: 

l = length, w = width, h = height 
Cylinder: 

r = radius of circular face, h = height 
Prism: 

A = area of the base, h = height 
Sphere: 

r = radius of sphere which is the integral of the Surface Area of a sphere 
Ellipsoid 

a, b, c = semiaxes of ellipsoid 
Pyramid: 

A = area of the base, h = height of pyramid 
Cone: 

r = radius of circle at base, h = distance from base to tip 
Note: The units of volume depend on the units of length  if the lengths are in meters, the volume will be in cubic meters, etc.
